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Multi-Combined-Step-Size Normalized Subband Adaptive Filtering Algorithm

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Abstract

A novel multi-combined-step-size normalized subband adaptive filtering algorithm is proposed. Different from the traditional combined-step-size method, by employing a variable mixing parameter on each subband, our designed algorithm is able to combine a large step size with a small one more effectively for each subband. The subband mixing parameters are derived from the variance of the noise-free a priori subband error signals. In this design, a noniterative shrinkage strategy is also utilized to estimate the noise-free a priori subband error signals. Moreover, the mean-square and steady-state performances of the proposed algorithm are studied. Simulation results illustrate that the proposed algorithm outperforms other algorithms mentioned in this paper in terms of tracking capability, convergence speed and steady-state error.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 61701331), Sichuan Science and Technology Plan Project (Grant No. 2021YFG0012), and Science and Technology Major Project of Tibetan Autonomous Region of China (Grant No. XZ202201ZD0006G02).

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Authors and Affiliations

  1. College of Computer Science, Sichuan Normal University, Chengdu, 610101, China

    Wenting Feng, Hongyu Han & Huchuan Tang

  2. Visual Computing and Virtual Reality Key Laboratory of Sichuan Province, Sichuan Normal University, Chengdu, 610066, China

    Wenting Feng, Hongyu Han & Huchuan Tang

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  1. Wenting Feng
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  2. Hongyu Han
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Correspondence to Hongyu Han.

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Feng, W., Han, H. & Tang, H. Multi-Combined-Step-Size Normalized Subband Adaptive Filtering Algorithm. Circuits Syst Signal Process 43, 1957–1973 (2024). https://doi.org/10.1007/s00034-023-02558-1

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